The Cauchy problem for a Schroedinger - Korteweg - de Vries system with rough data

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The Cauchy problem for a coupled system of the Schroedinger and the KdV equation is shown to be globally well-posed for data with infinite energy. The proof uses refined bilinear Strichartz estimates and the I-method introduced by Colliander, Keel, Staffilani, Takaoka, and Tao.
25 pages. Minor corrections have been made

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Analysis of PDEs, 35Q53, 35Q55

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http://salesiana.dossiersoluciones.com/handle/123456789/101042

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501408
 http://arxiv.org/abs/math/0501408

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arXiv